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'Weekly Problem 24 - 2008' printed from http://nrich.maths.org/

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Diagram

The diagram shows two circles and four equal semi-circular arcs. The area of the inner shaded circle is $1$. What is the area of the outer circle?

 

 

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.

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